On a uniqueness of the recovering low-order terms in the wave equation via dynamical boundary measurements

An approach to the dynamical inverse problems based upon their relations to the Boundary Control Theory (so-called $BC$-method) is developed. The method is applied to the problem of reconstruction of a vector field in a domain via the response operator (the dynamical Dirichlet-to-Neumann map). A peculiarity of the case under consideration is that the operator which governs an evolution of the corresponding dynamical system is nonselfadjoint. The paper gives a brief description of technique of the $BC$-method.